Sponsored Links

It’s All About the Correlation

The holy grail of portfolio management is to find an asset with a positive expected return that isn’t correlated to anything else. You want something that goes up on average, but even better if it doesn’t follow the herd down in a crash. Bitcoin is exactly this asset.

Bitcoin’s returns have been spectacular, but what’s even more interesting for portfolio managers is that those returns have about zero correlation to anything else.

Constructing a Portfolio

One of the great insights of modern portfolio theory is that you can actually lower overall portfolio risk by including a bunch of risky securities, as long as their returns aren’t strongly correlated.

It turns out that Bitcoin’s correlation to stocks, bonds, and real estate is, well, basically zero:

Here’s the average returns in excess of the “risk-free” T-bill rate and standard deviation of those returns from 1/3/2013 – 6/30/2016 (basically when BTC’s daily volume started to be consistently over $1M):

Average excess returns for stocks, bonds, real estate, and Bitcoin.

Bitcoin clearly has had explosive growth over this period, but also a tremendous amount of volatility.

Adding Bitcoin to Your Portfolio

We know that Bitcoin returns have essentially no correlation to stocks, bonds, or real estate, and we know that they’ve been enormous compared to other asset classes; but is that reason enough to add it to your portfolio?

We’ll answer that by looking at two classic portfolios: the Global Minimum Variance Portfolio (GMVP), and the Tangency portfolio.

The GMVP is the combination of assets that gives us the absolute smallest amount of return standard deviation possible, while the Tangency portfolio is the asset mix that maximizes the Sharpe Ratio, or excess return per unit risk. If interested you can check out the matrix algebra that solves these portfolios, but here’s what we get:

Portfolio performance with and without Bitcoin.

The GMVP loads up on very little Bitcoin; in fact, rounding to the nearest percent makes it look like zero. This makes sense because BTC is, by far, the most volatile asset under consideration and we’re trying to construct an absolute minimum variance portfolio.

What’s interesting is to note the stark difference in the Tangency portfolio with and without BTC. The Sharpe Ratio, or excess return per unit risk, jumps from 0.86 to 1.82. Mind you, this is all what we call “ex post” analysis, or after-the-fact, but it’s at least illustrative in discussing the merits of diversification.

For the curious, here are the weights for each asset in the portfolios:

Asset weights in the GMVP and Tangency portfolios with and without Bitcoin.

Putting It All Together

Let’s look at the efficient frontiers to see how BTC changes the game for investors:

Mean-Variance frontiers with and without Bitcoin.

The Ideal Portfolio Asset

The return and correlation properties of BTC significantly push out the efficient frontier for investors, meaning that the risk-return opportunities are far greater with this new asset class.

Here’s an academic paper that took a look at this in 2013, which confirms the findings here.

Moral of the story: Bitcoin truly is a new asset class that investors should take seriously, not just because of the extraordinary returns thus far, but because of its correlation, or more precisely, lack of correlation to everything else.

Do you think Bitcoin needs to be in every investor’s portfolio? Let us know in the comments below!